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Understanding Circular Motion: Centripetal Force and Acceleration

This guide explores the concepts of circular motion, focusing on centripetal force and acceleration. It discusses how velocity and speed are calculated using distance and time, leading to insights into real-world applications such as driving. The interplay between forces—gravity, tension, normal force, and friction—affects motion dynamics. Key formulas like F_net = ma and a = v²/R are introduced to help understand how different forces impact objects in circular paths. This foundational knowledge is essential for anyone studying physics or engineering.

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Understanding Circular Motion: Centripetal Force and Acceleration

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  1. Circular Motion Centripetal Force and Centripetal Acceleration

  2. Velocity = distance / time

  3. Speed = distance / time = 2(3.14)(10.6)/17.3s = 0.0085 m/s Speed = distance / time = 2(3.14)(0.3095)/.285s = 6.82 m/s

  4. Gas pedal, brake pedal, and steering wheel

  5. A v a v

  6. Gravity Tension Normal Gravity Friction Friction + Normal Friction Gravity + Normal Normal - Gravity Normal

  7. Fgrav Fnorm Fnorm Fgrav Fnet = Fnorm - Fgrav Fnet = Fnorm + Fgrav

  8. Up Down > < Bottom The seat pushes upward on you more than you are use to!!! FALSE

  9. Centripetal Acceleration

  10. 110 N 20N 2.5 N 20N 11.25 down 22.5 down 45 UP UP a = v2/R Fnet = ma 90 a = 32/0.8 Fnet = 2x11.25 a = v2/R Fnet = ma a = 32/0.8 Fnet = 3x11.25

  11. 19,400 N 5,000 N 3,000 N 5,000 N 16 down 28.8 UP 8,000 down UP 14,400 a = v2/R Fnet = ma a = v2/R Fnet = ma a = 242/20 Fnet = 500x28.8 a = 82/4 Fnet = 500x16

  12. 655 N 24,600 N 6,000 N 6,000 N 8.9 down 31 UP down 5,345 UP 18,600 a = v2/R a = v2/R Fnet = ma Fnet = ma a = 302/29 Fnet = 600 x 31 a = 142/22 Fnet = 600 x 8.9

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